Enhanced Euler's Method to Solve First Order Ordinary Differential Equations with Better Accuracy

Nurujjaman, Md.

doi:10.5281/zenodo.3731020

Cited by 2 publications

(3 citation statements)

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“…With 𝑦 𝑛 ≡ 𝑦(𝑛) and step size ℎ = 𝑥 𝑛 + 1 − 𝑥 𝑛 [19]. However, to determine the value of other parameters using assumptions according to existing data and previous research.…”

Section: Methodsmentioning

confidence: 99%

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Model of Transmission Covid-19 Using Siqrd Model With the Effect of Vaccination in Mataram

Febryantika,

Marwan,

Awalushaumi

et al. 2023

BAREKENG: J. Math. & App.

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Mathematical modeling is considered an effective tool for analyzing real-life problems. In this research, we analyze the dynamics of the COVID-19 spread in Mataram city using the SIQRD model with influence of the vaccination. The analyze based on varying some parameter values of the model i.e the transmission rate (β), the recovery rate for COVID-19 (γ), and the death rate (δ), before and after vaccination respectively. Our chosen methodology involves parameter estimation using the Euler method. The result shows that the model has an endemic equilibrium point which remains stable before and after vaccination. Furthermore, the basic reproduction number (R0) which states the number of secondary cases that occur if there are infected people in a population, has the value more than 1 before the vaccination, but equal to 1 after the vaccination. This suggests that prior to COVID-19 vaccination, infected individuals could potentially infect more than one person, but after vaccination, each infected person tends to only infect one other individual. This shift is attributed to the subsidence of COVID-19 symptoms following vaccination

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Section: Methodsmentioning

confidence: 99%

“…The research on viruses currently being carried out is research on the SARS-CoV-2 virus. The disease caused by this virus is called Coronavirus Disease 2019 (COVID- 19). There are several epidemic models for COVID-19, such as the SIR epidemic model and the SIQRD epidemic model.…”

Section: Introductionmentioning

confidence: 99%

Model of Transmission Covid-19 Using Siqrd Model With the Effect of Vaccination in Mataram

Febryantika,

Marwan,

Awalushaumi

et al. 2023

BAREKENG: J. Math. & App.

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“…Based on Kirchhoff's laws, a system of integro-differential equations was compiled. To determine the currents and voltages in the generator circuits, a system of algebraic equations with nonlinear coefficients was obtained using the finite-difference approximation by Euler's method [18]. Integral sums of voltages on capacitors C 0 -C 2 from currents were calculated using the trapezoidal method.…”

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confidence: 99%

Energy characteristics for nanosecond current interrupter of semiconductor-magnetic pulse generator’s terminal stage

Khrysto

2023

Electrical Engineering & Electromechanics

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Introduction. A semiconductor diode based on reverse current interruption is used to increase a pulse amplitude and peak power delivered on the process load. Usually, a current interrupter is located in the last stage of semiconductor-magnetic pulse generator (SMPG) and is connected in parallel to the load. Problem. Most of publications on this topic mostly concern with analysis of physical processes in the diode structure itself within its oscillating circuit, which is separated from previous SMPG’s pulse compression stages under condition of unidirectional energy transfer from the generator to the load. In this sense, the efficiency of conversion should be determined by the joint of electromagnetic interaction between non-linear compression stages, current interrupter and process load. Goal. Develop a mathematical model of nanosecond current interrupter to determine its electrical and energy characteristics as part of a high-voltage parallel circuit with magnetic pulse compression, depending on the duration and moment of current interruption, the equivalent circuit for load resistance, and to set the most optimal modes of its operation. Methodology. In this work, it is proposed to use a comprehensive approach aimed at the study of electromagnetic processes in the SMPG circuit with a nanosecond current interrupter, which takes into account the topology of circuit, the design parameters of switching reactor, the magnetization curve, the equivalent load resistance, as well as the time parameters of power switches. Results. Analytical expressions describing the electrical and energy characteristics of the interrupter when it operating on the active load are obtained. A numerical simulation of interrupter in the SMPG’s double-loop pumping circuit is carried out, taking into account a nonlinearity of SR’s magnetization curve. Three operation modes of interrupter is described, depending on the initial moment of reverse conduction current interruption. The analysis of interrupter operation on the load with an active-capacitive component is carried out. Practical meaning. The results of the research can be applied in the development of high-voltage SMPG scheme with improved energy-dynamic parameters.

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Enhanced Euler's Method to Solve First Order Ordinary Differential Equations with Better Accuracy

Cited by 2 publications

References 0 publications

Model of Transmission Covid-19 Using Siqrd Model With the Effect of Vaccination in Mataram

Model of Transmission Covid-19 Using Siqrd Model With the Effect of Vaccination in Mataram

Energy characteristics for nanosecond current interrupter of semiconductor-magnetic pulse generator’s terminal stage

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